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Finding the Third Proportional to 166,843 and 393,681.50

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Solution

The third proportional to 166,843 and 393,681.50 is: 928,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,843 : 393,681.50 = 393,681.50 : x
  2. Step 2: Convert to fraction form
    166,843/393,681.50 = 393,681.50/x
  3. Step 3: Cross multiply
    166,843x = 393,681.50 × 393,681.50
  4. Step 4: Simplify right side
    166,843x = 154,985,123,442.25
  5. Step 5: Solve for x
    x = 154,985,123,442.25/166,843
  6. Step 6: Final answer
    x = 928,927.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.